Find the L C M and H C F of the following pairs of integers and verify that L C M × H C F = product of the two numbers. 26 and 91

Given, numbers are 26 and 91 26 = 2 × 13 91 = 7 × 13 13 is the largest number which divides both 26 and 91 . So, HCF = 13 . L C M = 2 × 7 × 13 = 182 Product of the two numbers = 26 × 91 = 2366 H C F × L C M = 13 × 182 = 2366 Hence, the product of two numbers = H C F × L C M

Find the L C M and H C F of the following pairs of integers and verify that L C M × H C F = product of the two numbers. 510 and 92

Given numbers are 510 and 92 510 = 2 × 3 × 5 × 17 92 = 2 × 2 × 23 2 is the largest number which divides both 510 and 92 . So, HCF = 2 . L C M = 2 × 2 × 3 × 5 × 17 × 23 = 23460 Product of the two numbers = 510 × 92 = 46920 H C F × L C M = 2 × 23460 = 46920 Hence, the product of two numbers = H C F × L C M .

Find the L C M and H C F of 336 and 54 and verify that L C M × H C F = product of the two numbers.

Given numbers are: 336 and 54 . 336 = 2 × 2 × 2 × 2 × 3 × 7 = 2 4 × 3 × 7 54 = 2 × 3 × 3 × 3 = 2 × 3 3 6 is the largest number which divides both 336 and 54 . So, HCF = 6 . L C M = 2 4 × 3 3 × 7 = 3024 . Verification: Product of the numbers = 336 × 54 = 18144 H C F × L C M = 6 × 3024 = 18144 Hence, the product of two numbers = H C F × L C M .